What is the Greatest Common Factor of 74010 and 74014?

Greatest common factor (GCF) of 74010 and 74014 is 2.

GCF(74010,74014) = 2

We will now calculate the prime factors of 74010 and 74014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74010 and 74014.

How to find the GCF of 74010 and 74014?

We will first find the prime factorization of 74010 and 74014. After we will calculate the factors of 74010 and 74014 and find the biggest common factor number .

Step-1: Prime Factorization of 74010

Prime factors of 74010 are 2, 3, 5, 2467. Prime factorization of 74010 in exponential form is:

74010 = 2¹ × 3¹ × 5¹ × 2467¹

Step-2: Prime Factorization of 74014

Prime factors of 74014 are 2, 23, 1609. Prime factorization of 74014 in exponential form is:

74014 = 2¹ × 23¹ × 1609¹

Step-3: Factors of 74010

List of positive integer factors of 74010 that divides 74010 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2467, 4934, 7401, 12335, 14802, 24670, 37005

Step-4: Factors of 74014

List of positive integer factors of 74014 that divides 74010 without a remainder.

1, 2, 23, 46, 1609, 3218, 37007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74010 and 74014. The biggest common factor number is the GCF number.
So the greatest common factor 74010 and 74014 is 2.

Also check out the Least Common Multiple of 74010 and 74014